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I want to find the point on the ellipse that intersects with an given angle taken from the origin.
Posted 9-Aug-12 23:44pm
d@nish 10-Aug-12 5:57am
As interesting as this sounds, have you tried something?
Volynsky Alex 10-Aug-12 6:01am
Please look here:
and here:
ravithejag 13-Aug-12 2:56am
thanks Alex
Volynsky Alex 13-Aug-12 7:34am
You are welcome
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Solution 1

All you need to solve that is explained rather nicely here: Points of Intersection of an Ellipse and a line[^]. Just rember that a line that goes through the point of origin is inevitably of the form:

y = x * a

With a = tan(alpha) with alpha being the angle between the abscissa[^] and the ordinate[^].


ravithejag 13-Aug-12 2:56am
Hi Manfred,
i need to find the point by the specified angle
Manfred R. Bihy 13-Aug-12 11:37am
And now? I already told you in my solution that the a line going through the point of origin has the function y = x * tan(alpha) where alpha is said angle. Which part of that did you not understand? BTW, there can be more than one point of intersection.
CIDev 13-Aug-12 14:51pm
Good answer, +5

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